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Finding the Third Proportional to 45,864.44 and 70,164.50

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Solution

The third proportional to 45,864.44 and 70,164.50 is: 107,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,864.44 : 70,164.50 = 70,164.50 : x
  2. Step 2: Convert to fraction form
    45,864.44/70,164.50 = 70,164.50/x
  3. Step 3: Cross multiply
    45,864.44x = 70,164.50 × 70,164.50
  4. Step 4: Simplify right side
    45,864.44x = 4,923,057,060.25
  5. Step 5: Solve for x
    x = 4,923,057,060.25/45,864.44
  6. Step 6: Final answer
    x = 107,339.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.